"Monoid" meaning in Deutsch

{
  "categories": [
    {
      "kind": "other",
      "name": "Anagramm sortiert (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Deutsch",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Einträge mit Endreim (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Grundformeintrag (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Rückläufige Wörterliste (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Rückläufige Wörterliste Grundformeintrag (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Substantiv (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Substantiv n (Deutsch)",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Siehe auch",
      "orig": "siehe auch",
      "parents": [],
      "source": "w"
    }
  ],
  "derived": [
    {
      "sense_index": "1",
      "word": "Monoidring"
    },
    {
      "sense_index": "1",
      "word": "Untermonoid"
    }
  ],
  "forms": [
    {
      "form": "das Monoid",
      "tags": [
        "nominative",
        "singular"
      ]
    },
    {
      "form": "die Monoide",
      "tags": [
        "nominative",
        "plural"
      ]
    },
    {
      "form": "des Monoids",
      "tags": [
        "genitive",
        "singular"
      ]
    },
    {
      "form": "des Monoides",
      "tags": [
        "genitive",
        "singular"
      ]
    },
    {
      "form": "der Monoide",
      "tags": [
        "genitive",
        "plural"
      ]
    },
    {
      "form": "dem Monoid",
      "tags": [
        "dative",
        "singular"
      ]
    },
    {
      "form": "den Monoiden",
      "tags": [
        "dative",
        "plural"
      ]
    },
    {
      "form": "das Monoid",
      "tags": [
        "accusative",
        "singular"
      ]
    },
    {
      "form": "die Monoide",
      "tags": [
        "accusative",
        "plural"
      ]
    }
  ],
  "hypernyms": [
    {
      "sense_index": "1",
      "word": "Halbgruppe"
    }
  ],
  "hyphenation": "Mo·no·id",
  "hyponyms": [
    {
      "sense_index": "1",
      "word": "Gruppe"
    }
  ],
  "lang": "Deutsch",
  "lang_code": "de",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Link zur Wikipedia",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Die natürlichen Zahlen mit der Addition und der 0 als neutrales Element bilden ein Monoid."
        }
      ],
      "glosses": [
        "algebraische Struktur bestehend aus einer Menge mit einer klammerfrei notierbaren (assoziativen) Verknüpfung und einem neutralen Element"
      ],
      "id": "de-Monoid-de-noun-xCqtsEz9",
      "sense_index": "1",
      "topics": [
        "mathematics"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "monoˈiːt"
    },
    {
      "ipa": "monoˈʔiːt"
    },
    {
      "audio": "De-Monoid.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0c/De-Monoid.ogg/De-Monoid.ogg.mp3",
      "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/De-Monoid.ogg"
    },
    {
      "rhymes": "-iːt"
    }
  ],
  "tags": [
    "neuter"
  ],
  "translations": [
    {
      "lang": "Englisch",
      "lang_code": "en",
      "sense_index": "1",
      "word": "monoid"
    },
    {
      "lang": "Französisch",
      "lang_code": "fr",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "monoïde"
    },
    {
      "lang": "Italienisch",
      "lang_code": "it",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "monoide"
    },
    {
      "lang": "Spanisch",
      "lang_code": "es",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "monoide"
    }
  ],
  "word": "Monoid"
}

{
  "categories": [
    "Anagramm sortiert (Deutsch)",
    "Deutsch",
    "Einträge mit Endreim (Deutsch)",
    "Grundformeintrag (Deutsch)",
    "Rückläufige Wörterliste (Deutsch)",
    "Rückläufige Wörterliste Grundformeintrag (Deutsch)",
    "Substantiv (Deutsch)",
    "Substantiv n (Deutsch)",
    "siehe auch"
  ],
  "derived": [
    {
      "sense_index": "1",
      "word": "Monoidring"
    },
    {
      "sense_index": "1",
      "word": "Untermonoid"
    }
  ],
  "forms": [
    {
      "form": "das Monoid",
      "tags": [
        "nominative",
        "singular"
      ]
    },
    {
      "form": "die Monoide",
      "tags": [
        "nominative",
        "plural"
      ]
    },
    {
      "form": "des Monoids",
      "tags": [
        "genitive",
        "singular"
      ]
    },
    {
      "form": "des Monoides",
      "tags": [
        "genitive",
        "singular"
      ]
    },
    {
      "form": "der Monoide",
      "tags": [
        "genitive",
        "plural"
      ]
    },
    {
      "form": "dem Monoid",
      "tags": [
        "dative",
        "singular"
      ]
    },
    {
      "form": "den Monoiden",
      "tags": [
        "dative",
        "plural"
      ]
    },
    {
      "form": "das Monoid",
      "tags": [
        "accusative",
        "singular"
      ]
    },
    {
      "form": "die Monoide",
      "tags": [
        "accusative",
        "plural"
      ]
    }
  ],
  "hypernyms": [
    {
      "sense_index": "1",
      "word": "Halbgruppe"
    }
  ],
  "hyphenation": "Mo·no·id",
  "hyponyms": [
    {
      "sense_index": "1",
      "word": "Gruppe"
    }
  ],
  "lang": "Deutsch",
  "lang_code": "de",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "Link zur Wikipedia"
      ],
      "examples": [
        {
          "text": "Die natürlichen Zahlen mit der Addition und der 0 als neutrales Element bilden ein Monoid."
        }
      ],
      "glosses": [
        "algebraische Struktur bestehend aus einer Menge mit einer klammerfrei notierbaren (assoziativen) Verknüpfung und einem neutralen Element"
      ],
      "sense_index": "1",
      "topics": [
        "mathematics"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "monoˈiːt"
    },
    {
      "ipa": "monoˈʔiːt"
    },
    {
      "audio": "De-Monoid.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0c/De-Monoid.ogg/De-Monoid.ogg.mp3",
      "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/De-Monoid.ogg"
    },
    {
      "rhymes": "-iːt"
    }
  ],
  "tags": [
    "neuter"
  ],
  "translations": [
    {
      "lang": "Englisch",
      "lang_code": "en",
      "sense_index": "1",
      "word": "monoid"
    },
    {
      "lang": "Französisch",
      "lang_code": "fr",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "monoïde"
    },
    {
      "lang": "Italienisch",
      "lang_code": "it",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "monoide"
    },
    {
      "lang": "Spanisch",
      "lang_code": "es",
      "sense_index": "1",
      "tags": [
        "masculine"
      ],
      "word": "monoide"
    }
  ],
  "word": "Monoid"
}